The monotony scheme
From the signs of the derivative on every gap, mark with arrows where the function rises ↗ and falls ↘, and find the extreme points.
- أوكرانيا: الصف ١٠
- روسيا: الصف ١١
- ألمانيا: الصف ١١
لم يُترجَم هذا المختبر إلى هذه اللغة بعد.
الدليل
This follows the Ukrainian Grade 10 course (algebra and calculus, section 3, items 22-25). The zeros of the derivative cut the number line into gaps; on each gap f′ keeps one sign. If f′(x) > 0 the function increases (↗); if f′(x) < 0 it decreases (↘). A change from + to − is a maximum point, from − to + a minimum point.